000 | 02068cam a22002654a 4500 | ||
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001 | vtls000001806 | ||
003 | VRT | ||
005 | 20250102224225.0 | ||
008 | 081110s2000 gw a |b 001 0 eng | ||
020 | _a3110144042 (alk. paper) | ||
039 | 9 |
_a201402040058 _bVLOAD _c201007191143 _dmalmash _c200811111240 _dvenkatrajand _c200811100938 _dNoora _y200811100936 _zNoora |
|
050 | 0 | 0 |
_aQA609 _b.A63 2000 |
100 | 1 |
_aApanasov, B. N. _q(Boris Nikolaevich) _937858 |
|
245 | 1 | 0 |
_aConformal Geometry of Discrete Groups and Manifolds / _cby Boris N. Apanasov. |
260 |
_aBerlin ; _aNew York : _bWalter de Gruyter, _c2000. |
||
300 |
_axiii, 523 p. : _bill. ; _c25 cm. |
||
440 | 3 |
_aDe Gruyter expositions in mathematics, _x0938-6572 ; _v32 _937859 |
|
504 | _aIncludes bibliographical references and index. | ||
505 | _aGeometric structures; discontinuous groups of homeomorphisms; basics of hyperbolic manifolds; geometrical finiteness; Kleinian manifolds; uniformization; theory of deformations. | ||
520 | _aThis book presents a systematic account of conformal geometry of n-manifolds, as well as its Riemannian counterparts. A unifying theme is their discrete holonomy groups. In particular, hyperbolic manifolds, in dimension 3 and higher, are addressed. The treatment covers also relevant topology, algebra (including combinatorial group theory and varieties of group representations), arithmetic issues, and dynamics. Progress in these areas has been very fast sicne the 1980s, especially due to the Thurston geometrization program, leading to the solution of many difficult problems. A strong effort has been made to point out new connections and perspectives in the field and to illustrate various aspects of the theory. An intuitive approach which emphasizes the ideas behind the constructions is complemented by a large number of examples and figures which both use and support the reader's geometric imagination. | ||
650 | 0 |
_aConformal geometry. _937860 |
|
650 | 0 |
_aDiscrete groups. _910182 |
|
650 | 0 |
_aManifolds (Mathematics) _931254 |
|
942 |
_2lcc _n0 _cBK |
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999 |
_c16826 _d16826 |